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On the explicit upper and lower bounds for the number of zeros of the Selberg class

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In this paper we prove explicit upper and lower bounds for the error term in the Riemann-von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore,… Click to show full abstract

In this paper we prove explicit upper and lower bounds for the error term in the Riemann-von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.

Keywords: number zeros; number; upper lower; explicit upper; bounds number; lower bounds

Journal Title: Journal of Number Theory
Year Published: 2019

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